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Physics NotePublished

Division Algebras, Extended Supersymmetries and Applications

F. Toppan

2001

Publication details

Authors
F. Toppan
Type
Physics Note
Status
Published
Publication date
2001
Description
I present here some new results which make explicit the role of the division algebras '''R''', '''C''', '''H''', '''O''' in the construction and classification of, respectively, <math>N=1,2,4,8</math> global supersymmetric quantum mechanical and classical dynamical systems. In particular an <math>N=8</math> Malcev superaffine algebra is introduced and its relation to the non-associative <math>N=8</math> SCA is discussed. A list of present and possible future applications is given.
Year
2001
Number
CBPF-NF-013/01
Linked to a thesis
No
Linked to a grant
No
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